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The generalized approximate message passing (GAMP) algorithm is an efficient method of MAP or approximate-MMSE estimation of $x$ observed from a noisy version of the transform coefficients $z = Ax$. In fact, for large zero-mean i.i.d…

信息论 · 计算机科学 2015-08-11 Jeremy Vila , Philip Schniter , Sundeep Rangan , Florent Krzakala , Lenka Zdeborova

Conventional multi-user multiple-input multiple-output (MU-MIMO) mainly focused on Gaussian signaling, independent and identically distributed (IID) channels, and a limited number of users. It will be laborious to cope with the…

信息论 · 计算机科学 2022-09-20 Yuhao Chi , Lei Liu , Guanghui Song , Ying Li , Yong Liang Guan , Chau Yuen

In this paper, the `Approximate Message Passing' (AMP) algorithm, initially developed for compressed sensing of signals under i.i.d. Gaussian measurement matrices, has been extended to a multi-terminal setting (MAMP algorithm). It has been…

信息论 · 计算机科学 2014-01-14 Saeid Haghighatshoar

We consider the estimation of an i.i.d.\ random vector observed through a linear transform followed by a componentwise, probabilistic (possibly nonlinear) measurement channel. A novel algorithm, called generalized approximate message…

信息论 · 计算机科学 2012-08-15 Sundeep Rangan

Multiple-input multiple-output orthogonal frequency division multiplexing (MIMO-OFDM), a fundamental transmission scheme, promises high throughput and robustness against multipath fading. However, these benefits rely on the efficient…

信息论 · 计算机科学 2022-06-23 Xingyu Zhou , Jing Zhang , Chen-Wei Syu , Chao-Kai Wen , Jun Zhang , Shi Jin

Orthogonal approximate message-passing (OAMP) is proposed for signal recovery from right-orthogonally invariant linear measurements with spatial coupling. Conventional state evolution is generalized to a unified framework of state evolution…

信息论 · 计算机科学 2023-05-22 Keigo Takeuchi

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Approximate message passing (AMP) type algorithms have been widely used in the signal reconstruction of certain large random linear systems. A key feature of the AMP-type algorithms is that their dynamics can be correctly described by state…

信息论 · 计算机科学 2022-06-24 Lei Liu , Shunqi Huang , Brian M. Kurkoski

Low-complexity Bayes-optimal memory approximate message passing (MAMP) is an efficient signal estimation algorithm in compressed sensing and multicarrier modulation. However, achieving replica Bayes optimality with MAMP necessitates a…

信息论 · 计算机科学 2024-07-19 Lei Liu , Ming Wang , Shufeng Li , Yuhao Chi , Ning Wei , ZhaoYang Zhang

As one of the core technologies for 5G systems, massive multiple-input multiple-output (MIMO) introduces dramatic capacity improvements along with very high beamforming and spatial multiplexing gains. When developing efficient physical…

信息论 · 计算机科学 2023-11-01 Hengtao He , Xianghao Yu , Jun Zhang , Shenghui Song , Khaled B. Letaief

Generalised approximate message passing (GAMP) is an approximate Bayesian estimation algorithm for signals observed through a linear transform with a possibly non-linear subsequent measurement model. By leveraging prior information about…

信号处理 · 电气工程与系统科学 2018-12-05 Christian Schou Oxvig , Thomas Arildsen

We consider the problem of reconstructing the signal and the hidden variables from observations coming from a multi-layer network with rotationally invariant weight matrices. The multi-layer structure models inference from deep generative…

机器学习 · 统计学 2022-12-06 Yizhou Xu , TianQi Hou , ShanSuo Liang , Marco Mondelli

In this paper, we propose a practical receiver for multicarrier signals subjected to a strong memoryless nonlinearity. The receiver design is based on a generalized approximate message passing (GAMP) framework, and this allows real-time…

信息论 · 计算机科学 2017-03-07 Sergey V. Zhidkov

We propose an orthogonal approximate message passing (OAMP) algorithm for signal estimation in the rectangular spiked matrix model with general rotationally invariant (RI) noise. We establish a rigorous state evolution that precisely…

信息论 · 计算机科学 2025-12-23 Haohua Chen , Songbin Liu , Junjie Ma

Orthogonal delay-Doppler division multiplexing~(ODDM) modulation has recently been regarded as a promising technology to provide reliable communications in high-mobility situations. Accurate and low-complexity channel estimation is one of…

信号处理 · 电气工程与系统科学 2025-07-29 Dezhi Wang , Chongwen Huang , Xiaojun Yuan , Sami Muhaidat , Lei Liu , Xiaoming Chen , Zhaoyang Zhang , Chau Yuen , Mérouane Debbah

We consider the problem of signal estimation in generalized linear models defined via rotationally invariant design matrices. Since these matrices can have an arbitrary spectral distribution, this model is well suited for capturing complex…

机器学习 · 统计学 2022-06-10 Ramji Venkataramanan , Kevin Kögler , Marco Mondelli

This paper investigates a large unitarily invariant system (LUIS) involving a unitarily invariant sensing matrix, an arbitrary fixed signal distribution, and forward error control (FEC) coding. Several area properties are established based…

信息论 · 计算机科学 2022-06-24 Lei Liu , Shansuo Liang , Li Ping

Orthogonal/vector approximate message-passing (AMP) is a powerful message-passing (MP) algorithm for signal reconstruction in compressed sensing. This paper proves the convergence of Bayes-optimal orthogonal/vector AMP in the large system…

信息论 · 计算机科学 2022-04-26 Keigo Takeuchi

Approximate Message Passing (AMP) type algorithms are widely used for signal recovery in high-dimensional noisy linear systems. Recently, a principle called Memory AMP (MAMP) was proposed. Leveraging this principle, the gradient descent…

信息论 · 计算机科学 2026-01-01 Shunqi Huang , Lei Liu , Brian M. Kurkoski

Vector approximate message passing (VAMP) is a computationally simple approach to the recovery of a signal $\mathbf{x}$ from noisy linear measurements $\mathbf{y}=\mathbf{Ax}+\mathbf{w}$. Like the AMP proposed by Donoho, Maleki, and…

信息论 · 计算机科学 2018-03-09 Alyson K. Fletcher , Philip Schniter